If navier-stokes equations can be derived from Newton's laws, then Newton's laws can be derived from Galileo, Archimedes before him, even some older thinkers before them.
Newton ignored viscosity, and density. He made some discoveries on fluid dynamics but his famous laws only apply to solid objects. Same for velocity, he knew about that of course but only worked it out for solids. Ignoring two critical components meant he didn't establish relations between them either.
That's my read.
Not to dismiss credits to Newton, who's is in another league than navier and stokes. In his own league even. He probably would have figured out what was only solved centuries later had he explored further, or had he benefited from perhaps just a few other later discoveries.
But that's dismissive of navier-stokes significant discoveries on fluid dynamics to not simply give them credit for the formula behind this simulation.
